Acid/Base stuff Beauchamp 1 Problems – You should be able to match a pKa value with its acid in each group below and explain the differences. You should be able to draw an arrow-pushing mechanism with general base, B:- for any of the acids, H-A. Include resonance structures whenever appropriate. If there was a reaction shown between any two conjugate acids and bases, you should be able to qualitatively and quantitatively indicate which side of the equilibrium is favored, and what an approximate G is for the reaction. This is a big deal! You are learning the logic of organic chemistry, right here. acidic proton varies (on C, N, O or F) H 1 H C N H H pKa = 50 H H O H pKa = 35 H H H F pKa = 16 Strongest acid has the lowest pKa. The negative charge in the conjugate base is on the most electronegative atom, because they are all about the same size. pKa = 3 What is Keq and G for the following reactions? H C H H equilibrium lies completely to the left H N H weaker acid H H H weaker base Ka1 = 10-50 pKa1 = 50 Ka1 Keq = H C = H stronger base stronger acid Ka2 = 10-16 pKa2 = 16 -13 10-37 Ka2 H H -50 10 N = 10 G = (pKa1 - pKa2) x 1.4 = (50 - 37) x 1.4 = (13) x 1.4 = +18 kcal/mole H H N O stronger acid equilibrium lies completely to the right H Ka1 = 10 pKa1 = 16 Keq = N H O H stronger base -16 H H H weaker acid weaker base Ka1 = Ka2 10-16 10-37 Ka2 = 10-37 pKa2 = 37 = 10+21 G = (pKa1 - pKa2) x 1.4 = (16 - 37) x 1.4 = (-21) x 1.4 = -29 kcal/mole 2 acidic proton varies (on C, N, or O, in this problem F is not attached to a proton) H2 H2 H2 H H C H C C H3 C C H3 C N H3 C O F H3 C H pKa = 16 pKa = 50 pKa = 37 pKa = ? H H H2 C acidic proton is always on oxygen 3 I O H Br pKa = 11 O Cl H O F O H not stable pKa = NA H pKa = 7.5 pKa = 8.7 Strongest acid is ethanol, negative charge is on the most electronegative atom. Fluorine only makes one bond and that is with carbon, not with a proton, though the presence of the F probably makes the C-H bonds more acidic. The strongest acid is hypochlorous acid. All conjugate bases have the negative charge on the oxygen, but the inductive withdrawing effect of the chlorine is greatest because it is the most electronegative. acidic proton is always on oxygen 4 H Cl H O pKa's = 16 weakest Cl H O O pKa's = 14.3 Cl pKa's = 12.8 Cl H O Cl Cl y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC pKa's = 12.2 strongest More chlorines = more inductive withdrawal, which better helps stabilize the anion conjugate base. Acid/Base stuff Beauchamp acidic proton is always on carbon H Cl 5 H H C H3C O C H H Cl H pKa 32* H C H Cl O H pKa = -7 Br pKa = 25 Cl strongest pKa = 16 H weakest S H H pKa = 7 CH3 H3C CH C H H3C O I H H H pKa = 16 weakest Se H H pKa = 4 Te H pKa = 3 H strongest O H pKa = 10 All conjugate bases have a minus on oxygen. R groups are inductively donating which destabilizes the conjugate base. Fluorine is most electronegative, but minus charge is more delocalized on the larger iodide. Delocalization of the minus charge is more important in this example. All of the halogens have a Zeff = +7. O H H O pKa's = 19 weakest pKa = -10 strongest pKa = -9 acidic proton is always on oxygen O * = my estimate CH3 acidic proton varies (on O, S, Se or Te) H similar explanation to previous problem. H pKa's = 17 pKa's = 15.8 pKa = 3 weakest 10 Cl acidic proton varies (on F, Cl, Br or I) F 9 C Cl acidic proton is always on oxygen H2 H H C H3C H3C O pKa's = 15.5 strongest 8 Cl pKa 40* H pKa = 50 H weakest 6 2 O pKa = 4 strongest y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC similar explanation to previous problem, though all Zeff = +6. All have minus on oxygen (good). The first conjugate base has no resonance structures, the second has four (one on oxygen + three on carbon), the third has two resonance structures with minus on oxygen = best of this group. Acid/Base stuff Beauchamp 3 11 acidic proton is always on oxygen and another atom (C or N or a second O) O O O H C H3C pKa = 20 weakest H3C H 12 H3C N pKa = 15 H H C H C C O pKa = 5 strongest H acidic proton is always on two oxygen atoms O O O C C H O H2C H Ref. pKa = 4.7 I H 2C H O All three conjugate bases have minus on oxygen (good), but the other resonance structure is carbon (poorest), nitrogen (middle) or another oxygen (best) for stabilizing negative charge. C C H H 2C pKa's = 2.59 pKa's = 3.2 H2C O H O pKa's = 2.85 C H H2C Br Cl strongest O C H H2C O F O O CH3 pKa's =2.90 O pKa's = 4.8 weakest Halogen atoms are electron withdrawing (F>Cl>Br>I) and inductively help stabilize minus in conjugate base. R groups are inductively electron donating, which destabilizes minus charge (less stable = higher pKa). 13 acidic proton is always on two oxygen atoms O O C H3C pKa = 5 weakest H Cl O C C H2 C Cl H CH O O O C Cl H O C O Cl pKa = 0.7 strongest Cl pKa = 2.8 Cl pKa = 1.3 acidic proton is always on two oxygen atoms O O O Cl H H H O O O Cl pKa = 4.8 pKa = 4.5 pKa = 4.0 weakest More chlorines = more H inductive withdrawal, which better helps stabilize the anion conjugate base. 14 15 H O pKa = 2.8 Cl strongest pKa's = 10 Only one chlorine atom in each conjugate base. It has the strongest effect when it is closest to the negative charge of the conjugate base. H strongest acidic proton varies (on C, N, or O) O N H H H C H H pKa's = 41 pKa's = 28 H C O N H More electronegative atoms stabilizes the negative charge best (O>N>C) and more resonance delocalization stabilizes the minus better than no delocalization. H H H pKa's = 18 16 O pKa's = 37 H acidic proton is always on two oxygen atoms H3C pKa's = 50 weakest N F O2N H O C O O O C O C C C O H O H C O H O H pKa = 4.3 pKa = 3.9 pKa = 3.5 pKa = 3.6 Ref. pKa = 4.2 weakest strongest All conjugate bases have negative charge spread over two oxygen atoms. Stronger electron withdrawal stabilizes minus better and donation destabilizes it. O H y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC Acid/Base stuff Beauchamp 4 N 17 C N C N H N H N pKa = 23.6 strongest minus delocalizes onto nitrogen (good) H pKa = 28 weakest H pKa = 24.8 inductive withdrawal by nitrile group The acidic proton is always on nitrogen and in all cases delocalized into the ring. In the first example it is also delocalized (by resonance) onto the second nitrogen (good), which is not possible in the second example. acidic proton is always on carbon and sometimes on one or two oxygen atoms O O O 19 H H pKa = 50 weakest 20 H H F3C O O CF3 pKa = 9 H H resonance on two oxygen atoms pKa = 20 H H resonance on one oxygen atom pKa = 5 H H resonance on two oxygen atoms, plus inductive effect of fluorine atoms acidic proton is always on oxygen and has resonance in the ring O O O O H H H N O O H O2N pKa's = 7.1 pKa's = 10.2 weakest inductive donation pKa's = 10.0 reference pKa's = 8.4 inductive withdrawal strongest inductive withdrawal, plus extra resonance with minus charge on second oxygen of the NO2 group. acidic proton is always on oxygen and has resonance in the ring 21 O O H Cl H O O H H Cl 22 C H H2 C O C H O pKa's = 9.0 acidic proton is always on two oxygen atoms O O O O Cl pKa's = 10.0 weakest reference pKa's = 9.4 H3C pKa = 2.85 strongest C H C H2 C O pKa = 4.7 reference C O O pKa's = 85 inductive withdrawal, closest The neutral diacid is more electron withdrawing (stronger acid than reference), while the anion conjugate base is more H electron donating (weaker acid than O reference). The first negative charge makes it harder to form the second pKa = 5.70 negative charge. weakest acidic proton is always on carbon 23 pKa = 50 weakest Only one chlorine atom in each conjugate base. It has the strongest effect when it is closest to the negative charge of the conjugate base. H H H H H H pKa = 42 two resonance structures y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC pKa = 15* * also aromatic strongest five resonance structures Acid/Base stuff 24 Beauchamp acidic proton is always on carbon H H H C C H C C H C C H pKa = 25 H H strongest H H pKa = 44 pKa = 50 weakest H 25 5 H H acidic proton is always on nitrogen H C N H H C N H H H pKa = -10 strongest H pKa = 5 The electronegativity of hybrid orbitals is: sp (50% s) > sp2 (33% s) > sp3 (25% s). Greater electronegativity is better able to stabilize the negative charge in the conjugate base, so sp C-H bonds are the most acidic of these hydrocarbons, then sp2 C-H and lastly sp3 C-H (lowest acidity of any acid in our course). Remember pKa units are approximately exponents. H C N similar explanation to previous problem. H H H pKa = 9 weakest Bascity Use full headed arrows to show two electron movement. Water is the reference acid in usual Kb tables. We won't use pKb values. Instead, we will compare pKa values and judge bases to be stronger when their acids are weaker (larger pKa) and bases to be weaker when their acids are stronger (lower pKa). In the examples that follow pair up each base with the pKa value of its conjugate acid. B H judge the strength of the base from the weakness of the acid O B H use this acid's pKa value to judge the electron donating power of B: to the reference acid, H2O. O H H Here are a few qualitative examples. Where is the most basic site in each molecule below? Can an order of basicity be explained for some or for all of the bases (approximate pKa’s of the conjugate acids are provided)? O O C C H H3C CH3 H3C O pKa -7 O O C C O H3C pKa -7 H3 C CH3 pKa -6 pKa -0.5 H R Use the lone pair of the C=X: as the most basic site. O H N N N C H N H N C H N N O H H pKa 0.2 pKa 5 (my guess) H pK 7 a H N N H H pKa 13.6 The double bond lone pair is the most basic site. In the ketone it is the only lone pair. In the other bases there will be resonance structures if you use the double bond lone pair and nitrogen is a better donor than oxygen and 2x nitrogen is better than 1x nitrogen. R H N R H H C H N N N H H H H R N N C H R A H C H H N H C H H N N N N N H H H H H carbon is positive too y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC Acid/Base stuff Beauchamp 6 Problem – W at is the order of basicity among the following molecules of each group (1 = most basic)? Explain your reasoning. Match the given pKa values with the conjugate acids of the indicated bases. Write arrow-pushing mechanisms with general acid, H-A to illustrate the reactions. Include resonance structures whenever appropriate. Where is the most basic site in each molecule? Explain your reasoning using arguments of inductive effects (electronegativity), resonance effects (electron delocalization) or both. For any reaction between two conjugate acids and bases, you should be able to qualitatively and quantitatively indicate which side of the equilibrium is favored, and what is an approximate G is for the reaction. 1 H H electron pair donation varies (on C, N, O or F) C H H A N H strongest base H C H 2 H2 C H C H O H F A H N H O H H F H pKa = 16 pKa = 3 electron pair donation varies (on C, N, O or F) H2 H2 C C A HC N H A 3 H3C H H weakest base H H pKa = 35 H pKa = 50 strongest base A H H H3C H A Strongest base has the negative charge is on the least electronegative atom (smallest Zeff), so it is best able to donate (share) its electron density (because they are all about the same size). The most electronegative atom (F) is best able to carry the negative charge and least basic. H2 C H O A H3C H F A pKa = NA H weakest base H2 C H3C H2 C H C pKa = 50 H3C H H2 C H N H3C O pKa = 16 pKa = 37 H H2 C H H3C H F H pKa = ? (very negative) Strongest base has the negative charge is on the least electronegative atom (C), so it is best able to donate (share) its electron density (because all the atoms are about the same size). Fluorine is neutral in this example and not expected to be basic. 3 R H N C H3C A C H H3C N R H C N pKa = 7 H H3C pKa = 0 H A H O weakest base = 2x oxygen donating pKa = -7 Remember, pKa is of conjugate acid (with the proton on). H N H N H C H3C R H C H O H N N H 3C A N 2nd best base = 1x H nitrogen & 1x oxygen donating best base = 2x H nitrogen donating R H O C H3C H N Remember, pKa is of conjugate acid (with the proton on). The largest pKa is the weakest acid, having the most basic conjugate base. H y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC Acid/Base stuff Beauchamp 7 4 H C H N H A H H N A H N H pKa = 5 H C N H H H pKa = -10 H 5 N H H strongest base H H C C weakest base H H C A sp3 obitals are less electronegative and better able to share electron density (more basic) because they are only 25% s. sp orbitals are more electronegative and less able to share electron density (50% s). H H H C N H H N H H pKa = 9 R N H H A H N A N N N H H best base = 3x nitrogen donating H 2nd best base = 2x nitrogen donating pKa = 13 A Donating nitrogen atoms are all sp2. but more 3rd best base = 1x delocalization with full nitrogen donating octets is better for conjugate acid (= weaker acid and pKa = 5 stronger base) H C pKa = 7 O 6 H O A H O 2nd best base best base pKa = 10 A H O 3rd base pKa = 16 A pKa = 5 The most stable anion (3rd structure) is the least basic and the least stable anion (middle structure) is sthe most basic. Stability based on number of resonance structures and the electronegativity of the atoms (2x oxygen > 1x oxygen + 3x carbon > 1x oxygen). 7 O O O O O F3C CF3 H H pKa = 9 H H most basic pK = 50 a least basic pKa = 5 pKa = 20 These are the conjugate bases of the acids in example 19 above. The most stable one (resonance + inductive withdrawal) is the least basic. The least stable one is the most basic 6 O O C H3C O H A O C H3C C H N H A least basic pKa = 5 Less electronegative atoms are less stable with negative charge and more basic. H3C CH2 H A most basic pKa = 15 pKa = 20 These are the conjugate bases of the acids in example 11 above. The most stable one (resonance = 2x oxygen) is the least basic. The least stable one is the most basic y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC Acid/Base stuff 9 Beauchamp H H H 8 H C C H A C C H A C H least basic H H most basic H C H H pKa = 25 pKa = 50 A pKa = 44 These are the conjugate bases of the acids in example 24 above. The most stable one is sp (most electronegative hybrid orbital) and the least basic. sp3 orbital is least electronegative orbital and the worst for carrying the negative charge, thus most basic. 10 H H A H H A A H H least basic most basic pKa = 15 pKa = 42 pKa = 50 These are the conjugate bases of the acids in example 23 above. The most stable one (resonance = 5x carbon) is the least basic. The least stable one (1x carbon) is the most basic Acid/Base arrow pushing worksheet 1. These proton transfer reactions are the first step in multistep mechanisms to be studied later in the course. Supply the necessary curved arrows, lone pairs of electrons and/or formal charge to show how the first step each reaction proceeds. Starting at e are simple proton transfer reactions generating a carbanions (very important for organic chemistry). Generally, there is some stabilizing feature that allows a carbanion to form via acid/base chemistry, such as inductive and/or resonance effects, but this is not always the case. In working the problem below, show any important resonance structures or identify the inductive effect that makes the reaction possible. Estimate a Keq for each reaction using the Ka’s. a. O O Na H sodium hydride 10-16 Keq = = 10+21 -37 10 R H alcohols Ka = 10-16 R H-H Na Ka = 10-37 Equilibrium lies completely to the right. b. S R Na O H sodium hydroxide 10-9 Keq = = 10+7 -16 10 H thiols Ka = 10-9 H S R O Na Equilibrium lies completely to the right. H Ka = 10-16 c. Na O H sodium hydroxide O C O R carboxylic acids Ka = 10-5 H Keq = 10-5 10-16 = 10 O O H resonance C R +11 C O R O O Equilibrium lies completely to the right. y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC H Ka = 10-16 Acid/Base stuff Beauchamp 9 d. e. f. O R Li R R C H N O C H C Keq = 10 R O C ester Ka = 10-25 H LDA -78 oC O O C resonance H H R2NH Ka = 10-37 H -25 -37 R O C H Equilibrium lies completely to the right. = 10+12 10 g. O R N H Li R O O -78 oC C C R N tertiary amide H Ka = 10-30 H LDA H R Keq = 10-30 -37 R C C = 10+7 N C resonance R C N H R H H R R2NH Ka = 10-37 Equilibrium lies mostly to the right. 10 h. H R N R H Li LDA C H C N nitrile Ka = 10-30 Keq = -78 oC H C C N resonance H 10 H C H -30 10 -37 = 10+7 Equilibrium lies mostly to the right. y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC C N R2NH Ka = 10-37 Acid/Base stuff Beauchamp 10 i. O O C C H3C H C C Na etc. CH3 Ka = 10-37 H 10-9 Keq = H-H etc. C Ka = 10-9 H sodium hydride O H3 C CH3 1,3-dicarbonyl C H -78 oC O 10-37 = 10+28 Equilibrium lies completely to the right. j. k. Li S H2 C H S CH3 H2C C H2 H H -78 oC S dithiane Ka 10-35 10-35 10-50 CH2CH2CH2CH3 Ka = 10-50 S n-butyl lithium Keq = H Equilibrium lies completely to the right. = 10+15 l. H Ph Li S C H2 C H H 2C Ph CH3 H -78 oC S n-butyl lithium sulfur ylid -35 Ph = phenyl Ka 10 Keq = 10-35 10 -50 H Ph C H2 C possible resonance with sulfur H d orbitals? S H C H H2 C H2C C H2 Ph Ph = 10+15 H Ph CH3 Ka = 10-50 Equilibrium lies completely to the right. m. Br Ph Ph P Li H C H H2 C CH3 H2C Ph H phosphorous ylid (Ph = phenyl) Ka 10-35 C H2 n-butyl lithium H Ph -78 oC Ph P C possible Ph resonance H with phosphorous Ph P d orbitals? Ph Keq = 10-35 10-50 = 10 +15 Equilibrium lies completely to the right. y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC Ph H H C H H2 C H2C C H2 Ka = 10-50 CH3 Acid/Base stuff Beauchamp 11 2. Lone pair donors to very strong acid All of the following functional groups react with strong protic acid as the first step of a reaction studied in organic chemistry. Often subsequent chemistry occurs after that initial step and you will study most of those reactions later in the course. Show how they react in the first step by including all lone pairs, curved arrows to show electron movement and formal charge. Acid/Base arrow pushing worksheet lone pair donors lone pair acceptor O O H Keq = ? H O H H O S OH H N H H H ammonia O 103 2 O H S = 10+1 OH equilibrium O Equilibrium lies to the right. 10 H 102 10-9 H Keq = ? pKa's = -2, 9 H Keq = O pKa's = -3, -2 O Keq = H H N H H O H equilibrium H = 1011 Equilibrium lies completely to the right. H R N H H O H Keq = ? R H H 1o amine Keq = N H H O H equilibrium H equilibrium H equilibrium pKa's = -2, 10 102 10-10 = 1012 H Equilibrium lies completely to the right. H R N H H O H Keq = ? R H R 2 amine o Keq = N H H O pKa's = -2, 10 102 10-10 R = 1012 Equilibrium lies completely to the right. H R N R H O H Keq = ? R R 3o amine H Keq = N R H O pKa's = -2, 10 102 10-10 R = 1012 Equilibrium lies completely to the right. y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC Acid/Base stuff Beauchamp H R O O additional chemistry possible H pKa's = -2, -3 H R O H H O H 2 10 Keq = H O Keq = ? H H alcohol R 12 O = 10-1 3 10 Equilibrium is pretty even Keq = ? H additional chemistry possible H R pKa's = -2, -3 H ether 10 Keq = O H = 10-1 103 H epoxide (ether) O R H H H 102 = 10-1 103 H O H H R C R C Keq = ? H H R' additional chemistry possible O resonance (2) O O H Equilibrium is pretty even O H C R' R R' pKa's = -2, -7 ketone Keq = 102 106 = 10-4 Equilibrium lies a little to the left H R C N H O additional chemistry possible O pKa's = -2, -3 Keq = O Equilibrium is pretty even Keq = ? H O R 2 SO3H nitrile Keq = ? N C pKa's = -3, -10 R sulfuric acid Keq = 103 1010 = 10-7 H resonance (2) N C R Equilibrium lies to the left but still generates some of the protonated nitrile that can react further. y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC additional chemistry possible Acid/Base stuff Beauchamp 13 H O H C O H H R O carboxylic acid Keq = 10 H R C O R C = 10-5 107 O Keq = ? O pKa's = -2, -6 C H H ester 10 Keq = R 2 = 10 106 -4 H H NH2 Keq = ? pKa's = -2, 0 amide Keq = 10 R' O O C C R R' R O O H H O O O C C C NH2 H N H C O H NH2 Keq = R 102 10-12 NH2 R H H NH2 additional chemistry possible = 10+2 Equilibrium lies a little to the right H R R 2 100 additional chemistry possible H O C R R' O H H O additional chemistry possible Equilibrium lies a little to the left O H H Equilibrium lies a little to the left R' R R O H O C H 2 O H O O C pKa's = -2, -6 H H H O Keq = ? H Keq = ? N pKa's = -2, 12 C H = 10 +14 R NH2 H H N N C C R NH2 Equilibrium lies completely to the right y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC R NH2 additional chemistry possible Acid/Base stuff Beauchamp 14 Carbon-carbon pi bonds as weak electron pair donors to very strong acid H H C R alkene SO3H O H Keq = ? C pKa's = -3, -10 CH2 sulfuric acid 103 Keq = 1010 R 10-7 H C H2 Equilibrium lies to the left but still generates some of the protonated alkene that can react further. R H O H Keq = ? C H CH2 enol ether pKa's = -2, -7 102 Keq = C C H H O R 10 10-7 H Keq = ? C pKa's = -10, -10 C C H aromatic H E+ = electrophile (Lewis acid = electron pair acceptor) 10 Keq = 10 1010 1 C H2 H R C H C C H C additional chemistry possible H H C H E C R H E = electrophile H additional chemistry possible H Equilibrium lies to the left but still generates some of the protonated alkyne that can react further. 10 H C C C H2 pKa's = -3, -10 103 Keq = C resonance (2) Keq = ? SO3H sulfuric acid C H 10-5 Equilibrium lies a little to the left 107 alkyne H O O C R R R O R additional chemistry possible carbocation chemistry H E C C H H H H H C C C C C C H H C H E H H C C C C C E additional chemistry possible H H Equilibrium is even (not really sure about pKa of electrophile, but they are very reactive) At this point we are mainly interested in understanding acid/base proton transfers, curved arrow pushing, formal charge, recognizing resonance structures and using the logic arguments of inductive effects and resonance effects to explain relative stabilities of acids and bases. If you can do these things, you are well on your way to understanding organic chemistry and biochemistry. Tautomers - There are many worked examples in the tautomer section. Use those to practice with and then try some possibilities without worked answers. Ask me if you get stuck. y:\files\classes\315\315 Handouts\315 Fall 2013\1b acid-base list, 315 answers, 14p.DOC
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